Criteria for maximal nonlinearity of a function over a finite field

DOI10.1515/DMA-2023-0012zbMath1519.94262OpenAlexW4363677422MaRDI QIDQ6043886

Vladimir G. Ryabov

Publication date: 25 May 2023

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma-2023-0012

zbMATH Keywords

finite fieldnonlinearityFourier coefficientsbent functionaffine function

Mathematics Subject Classification ID

Boolean functions (94D10)

Related Items (2)

Characteristics of nonlinearity of vectorial functions over finite fields ⋮ Nonlinearity of functions over finite fields

Cites Work

• Generalized bent functions and their properties
• On ``bent functions
• Highly nonlinear mappings
• On the degree of restrictions of \(q\)-valued logic vector functions to linear manifolds
• Approximation of restrictions of \(q\)-valued logic functions to linear manifolds by affine analogues
• Maximally nonlinear functions over finite fields
• Properties of bent functions of q-valued logic over finite fields
• Bent functions from a finite abelian group into a finite abelian group
• О примарных функциях, минимально близких к линейным

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